منابع مشابه
L-System Description of Subdivision Curves
In recent years, subdivision has emerged as a major geometric modeling technique. Algorithms for generating subdivision curves are often specified in terms of iterated matrix multiplication. Each multiplication maps a globally indexed sequence of points that represents a coarser approximation of the curve onto a longer sequence that represents a finer approximation. Unfortunately, this use of m...
متن کاملL-system Implementation of Multiresolution Curves Based on Cubic B-Spline Subdivision
It has been previously shown that L-systems can be used to generate subdivision and reverse subdivision curves [Prusinkiewicz et al. 2003]. In this paper we show that L-systems can also be used to generate multiresolution curves. The L-system description captures the locality of the concept of multiresolution curves.
متن کاملSubdivision Curves and Surfaces
Although curves can be generally described by using concepts such as NURBS, we will introduce subdivision curves as a lead-in to the more general concept of subdivision surfaces. Suppose we wanted to perform knot-insertion in the middle of a B-spline curve defined by four control points, p0 through p3. Using the blossoming technique, we would determine the control point to be as in Figure 1. Th...
متن کاملSubdivision Curves on Triangular Meshes
Subdivision curves have great importance for many CAD/CAM applications. In this paper we propose a simple method to define subdivision schemes on triangulations. It works by translating to the triangulation a perturbation of a planar binary subdivision. To reproduce this perturbation in the surface we use both, shortest and straightest geodesics, so we call this strategy intrinsic projection me...
متن کاملAdaptive Subdivision Curves and Surfaces
Well-known schemes of subdivision curves and surfaces are modified so that they allow an adaptive refinement. Adaptation is controlled by an error measure which indicates for the vertices of a mesh whether the approximation is sufficient. The adaptive constructions are based on local operations of refining or coarsening. They allow to reach all other subdivisions, in particular the non-adaptive...
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ژورنال
عنوان ژورنال: International Journal of Shape Modeling
سال: 2003
ISSN: 0218-6543,1793-639X
DOI: 10.1142/s0218654303000048